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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
6
and Q=
C
3
×C
15
Direct product G=N×Q with N=
C
6
and Q=
C
3
×C
15
d
ρ
Label
ID
C
3
2
×C
30
270
C3^2xC30
270,30
Non-split extensions G=N.Q with N=
C
6
and Q=
C
3
×C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.
1
(C
3
×C
15
) =
C
10
×He
3
central extension (φ=1)
90
3
C6.1(C3xC15)
270,21
C
6
.
2
(C
3
×C
15
) =
C
10
×3
-
1+2
central extension (φ=1)
90
3
C6.2(C3xC15)
270,22
×
⋊
ℤ
𝔽
○
≀
ℚ
◁